165319956 has 36 divisors (see below), whose sum is σ = 418302612. Its totient is φ = 55052544.

The previous prime is 165319939. The next prime is 165319967. The reversal of 165319956 is 659913561.

It can be written as a sum of positive squares in 2 ways, for example, as 23328900 + 141991056 = 4830^2 + 11916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54430 + ... + 57386.

It is an arithmetic number, because the mean of its divisors is an integer number (11619517).

Almost surely, 2^165319956 is an apocalyptic number.

It is an amenable number.

165319956 is an abundant number, since it is smaller than the sum of its proper divisors (252982656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165319956 is a wasteful number, since it uses less digits than its factorization.

165319956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4515 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 165319956 is about 12857.6808173169. The cubic root of 165319956 is about 548.8349509328.

It can be divided in two parts, 1653 and 19956, that added together give a square (21609 = 147²).

The spelling of 165319956 in words is "one hundred sixty-five million, three hundred nineteen thousand, nine hundred fifty-six".